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Observer-based H_∞ Filtering of 2-D Singular System Described by Roesser Models

Observer-based H_∞ Filtering of 2-D Singular System Described by Roesser Models
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摘要 This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes free and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach. This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes tree and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach.
出处 《自动化学报》 EI CSCD 北大核心 2006年第2期213-218,共6页 Acta Automatica Sinica
基金 Supported by National Natural Science Foundation of P.R.China (60304001, 60474078) the Science Research Development Foundation of Nanjing University of Science and Technology
关键词 2-D奇异系统 跳跃模式 RICCATI不等式 双线性不等式 2-D singular systems, jump modes, general Riccati inequality, bilinear matrix inequalities
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参考文献4

  • 1Zou Y, Campbell S L. The jump behavior and stability analysis for 2-D singular systems. Multidimensional Systems & Signal Processing, 2000, 11(4): 321-338.
  • 2Xu H L, Zou Y, Xu S Y, Lam J. Bounded real lemma and robust Hoo control of 2-D singular Roesser models.Systems & Control Letters. 2005, 54(4): 339-346.
  • 3Wang W Q, Zou Y. The detectability and observer design of 2-D singular systems. IEEE Transactions on Circuits & Systems, 2002, 49(5): 698-703.
  • 4Peaucelle D, Arzelier D, Bachelier O, Bernussou J. A new robust D-stability condition for real convex polytopic uncertainty. Systems & Control Letters, 2000, 40(1):21-30

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